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101402136234 = 23271123716633
BaseRepresentation
bin101111001110000001…
…0011100111010101010
3100200201220000020120100
41132130002130322222
53130132421324414
6114330011410230
710216560636150
oct1363402347252
9320656006510
10101402136234
113a005953883
121779b453976
139740158659
144c9d36b3d0
1529873a2609
hex179c09ceaa

101402136234 has 48 divisors (see below), whose sum is σ = 251314944192. Its totient is φ = 28946199744.

The previous prime is 101402136229. The next prime is 101402136239. The reversal of 101402136234 is 432631204101.

It is a happy number.

101402136234 is a `hidden beast` number, since 1 + 0 + 14 + 0 + 21 + 3 + 623 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (101402136229) and next prime (101402136239).

It is a junction number, because it is equal to n+sod(n) for n = 101402136198 and 101402136207.

It is not an unprimeable number, because it can be changed into a prime (101402136239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216819 + ... + 499814.

It is an arithmetic number, because the mean of its divisors is an integer number (5235728004).

Almost surely, 2101402136234 is an apocalyptic number.

101402136234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101402136234 is an abundant number, since it is smaller than the sum of its proper divisors (149912807958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101402136234 is a wasteful number, since it uses less digits than its factorization.

101402136234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717771 (or 717768 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 101402136234 in words is "one hundred one billion, four hundred two million, one hundred thirty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1123 2246 3369 6738 7861 10107 15722 20214 23583 47166 70749 141498 716633 1433266 2149899 4299798 5016431 6449697 10032862 12899394 15049293 30098586 45147879 90295758 804778859 1609557718 2414336577 4828673154 5633452013 7243009731 11266904026 14486019462 16900356039 33800712078 50701068117 101402136234